Gahlejm

Thanks for the question @Gahlejm, I would run a small USB fan if you decide to keep the power bricks in close distance so that they don't overheat and use a good surge protector such as the one linked within this post to prevent damage to connected devices whether or not you decide to run them close since the electricity from the wall can't always be trusted (ex. voltage spikes/surges).
 
Link to a USB fan (this is what I use in my networking room to keep equipment cool and it has lasted for more than 5 years now and still runs 24/7):    https://www.walmart.com/ip/Mainstays-4-inch-Metal-Desktop-Fan-Blue/198883989?selected=true
 
Link to a Good Surge Protector on Amazon:   https://www.amazon.com/AmazonBasics-8-Outlet-Surge-Protector-6-Foot/dp/B07GFRKSXD/ref=sr_1_19dchild=1&keywords=surge+protector&qid=1592323688&refinements=p_89%3AAmazonBasics&rnid=2528832011&sr=8-19

If you want to think about it from an "electrician's" perspective, I have mainly been taught that in order for something to arc like that you would need some very high voltages (for some period of time at least). I think that plastic housing they have makes it even more difficult for something like that to happen. As long as you don't have bare wires or the brick is cracked open it should be safe for the average user.

They'll be fine. They might get a bit toasty if you keep them sealed in a box with no airflow, but if they aren't cheap Chinese knock-offs they won't blow up on you.

I'm afraid I don't really know any monitors to recommend. Based on DisplayNinja's FAQ you may want to look for monitors that support HDMI 2.0. I'd have a look around their site, they have lots of monitor tests and lists. For example: https://www.displayninja.com/best-gaming-monitor/